College

Buchtel College of Arts and Sciences

Date of Last Revision

2021-12-02 12:54:13

Major

Applied Mathematics

Honors Course

3450 589 T: Mathematics (T: BS/MS Projects)

Number of Credits

3

Degree Name

Bachelor of Science

Date of Expected Graduation

Fall 2021

Abstract

In order for an electrical network to be printed on a flat surface without changing the network’s input or output, it is important to consider if any wires will cross and if this problem can be avoided. If a circular network can be printed so that no wires cross, the network is said to be circular planar. In this paper, we identify a number of wiring patterns that make circular planarity impossible. We find exactly 3 wiring patterns using circular pairs with sets of two nodes, and we find exactly 78 wiring patterns using circular pairs with sets of three nodes.

Research Sponsor

Dr. Stefan Forcey

First Reader

Dr. James Cossey

Second Reader

Dr. Hung Nguyen

Honors Faculty Advisor

Dr. Curtis Clemons

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